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Finding the Third Proportional to 48,082 and 102,416

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Solution

The third proportional to 48,082 and 102,416 is: 218,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082 : 102,416 = 102,416 : x
  2. Step 2: Convert to fraction form
    48,082/102,416 = 102,416/x
  3. Step 3: Cross multiply
    48,082x = 102,416 × 102,416
  4. Step 4: Simplify right side
    48,082x = 10,489,037,056
  5. Step 5: Solve for x
    x = 10,489,037,056/48,082
  6. Step 6: Final answer
    x = 218,148.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.